If z = (3+ 7i) (a +ib) where a,b in in Z- {0}, ispurely imaginary , thenthe minimum value of |z|...

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If z = (3 + 7i) (p + iq), where p, q el- {0}, is purely imaginary, then minimum value of |z|2 If z = (3 + 7i) (p + iq), where p, q el- {0}, is purely imaginary, then minimum value of |z|2
If \(z=(3+7 i)(p+i q)\), where \(p, q \in I -\{0\}\), is purely imaginary, then minimum value of.... If \(z=(3+7 i)(p+i q)\), where \(p, q \in I -\{0\}\), is purely imaginary, then minimum value of....
If \( z=(3+7 i)(p+i q) \), where \( p, q \in I-\{0\} \), is purely imaginary, then minimum value... If \( z=(3+7 i)(p+i q) \), where \( p, q \in I-\{0\} \), is purely imaginary, then minimum value...
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Finding the value of a and b if z^3 + az^2 + (3+i)z + b =0 has roots z=3 and z=i. Finding the value of a and b if z^3 + az^2 + (3+i)z + b =0 has roots z=3 and z=i.